Kaon Weak Matrix Elements with Wilson Fermions

Abstract

We present results of several numerical studies with Wilson fermions relevant for kaon physics. We compute the B_K parameter by using two different methods and extrapolate to the continuum limit. Our preliminary result is B_K(2 GeV)=0.66(7). Delta I=3/2 K->pi pi matrix elements are obtained by using the next-to-leading order expressions derived in chiral perturbation theory in which the low energy constants are determined by the lattice results computed at unphysical kinematics. From the simulation at beta=6.0 our (preliminary) results read: <pi pi|O_7(2 GeV)|K>_{I=2}=0.14(1)(1) GeV^3 and <pi pi|O_8(2GeV)|K>_{I=2}=0.69(6)(6) GeV^3.

3 pages (5 eps figures), Lattice2002(matrixel)

Cited by in corpus (8)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• epsilon'/epsilon at the NLO: 10 Years Later
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• Chiral Condensates, Q_7 and Q_8 Matrix Elements and Large-N_c QCD
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• Sea quark effects in B_K from N_f=2 clover-improved Wilson fermions
• Sea quark effects in B_K from N_f=2 clover-improved Wilson fermions